More Function

[Kathleen]

Any help?

Show that the product of an odd function and an odd function is an even function, as is the product of an even function and an even function.

Show that the product of and even function and an odd function is and odd function; that is , show that f(x)*g(x)=-f(x)*g(x) for all values of x in the domain.

Can anyone explain this one to me?

Thanks

 

[stapel]

Show that the product of an odd function and an odd function is an even function, as is the product of an even function and an even function.

Suppose f(x) and g(x) are odd. What can you say about f(-x) and g(-x)? What then about f(-x)g(-x)?

Suppose f(x) and g(x) are even. What can you say about f(-x) and g(-x)? What then about f(-x)g(-x)?

Show that the product of and even function and an odd function is and odd function....

Suppose f(x) is even and g(x) is odd. What can you say about f(-x) and g(-x)? What then about f(-x)g(-x)?

Eliz.